what is the smallest number by which 15379 must be divided so that the quotient is a perfect cube?
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Step-by-step explanation:
Prime factorisation of 15379=7×13×13×13
Prime factorisation of 15379=7×13^3
If the number is divided by 7 then we will get a perfect cube 13^3.
So the smallest number by which 15379 should be divided to get a perfect cube is 7
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